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Finding the Fourth Proportional to 6,430.80, 9,645.39 and 2,732.34

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Solution

The fourth proportional to 6,430.80, 9,645.39 and 2,732.34 is: 4,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.80 : 9,645.39 = 2,732.34 : x
  2. Step 2: Convert to fraction form
    6,430.80/9,645.39 = 2,732.34/x
  3. Step 3: Cross multiply
    6,430.80x = 9,645.39 × 2,732.34
  4. Step 4: Simplify right side
    6,430.80x = 26,354,484.91
  5. Step 5: Solve for x
    x = 26,354,484.91/6,430.80
  6. Step 6: Final answer
    x = 4,098.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.